You need to add some butter, oil and heavy cream, or chances are you are not in ketosis: 80% of you calories intake should come from fat to guarantee ketosis.
Reading that FAQ, the idea behind low fat intake is that body will provide fat, which means you need to have some high calories restrictions to initiate process.
E.g. you need 2k calories for your day-to day life.
If you don't want to eat lots of fat, to get into ketosis you need to decrease your food intake to say 1k, with idea is that 0.05k calories will come from carbs in food, say 0.2k calories will come from protein in food, 0.75k calories will come from fat in food, and another 1k will come from body fat.